"""simple docstring"""



from __future__ import annotations

import math



def 	_lowerCamelCase(	a   ,    a   ,    a   ,    a   ,    a				):

       if depth < 0:
              raise ValueError("Depth cannot be less than 0"				)

       if len(a				) == 0:
              raise ValueError("Scores cannot be empty"				)

       if depth == height:
              return scores[node_index]

       if is_max:
              return max(
                  minimax(depth + 1   ,    node_index * 2   ,    a   ,    a   ,    a				)   ,    minimax(depth + 1   ,    node_index * 2 + 1   ,    a   ,    a   ,    a				)   ,    )

       return min(
           minimax(depth + 1   ,    node_index * 2   ,    a   ,    a   ,    a				)   ,    minimax(depth + 1   ,    node_index * 2 + 1   ,    a   ,    a   ,    a				)   ,    )



def 	_lowerCamelCase(	):
       __a       =    [9_0, 2_3, 6, 3_3, 2_1, 6_5, 1_2_3, 3_4_4_2_3]
       __a       =    math.log(len(a				)   ,    2				)
       print("Optimal value : "   ,    end=""				)
       print(minimax(0   ,    0   ,    a   ,    a   ,    a				)				)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()

"""simple docstring"""



from __future__ import annotations

import math



def 	_lowerCamelCase(	a   ,    a				):
       __a       =    u
       for i in range(1   ,    a				):
              __a       =    temp * (u - i)
       return temp



def 	_lowerCamelCase(	):
       __a       =    int(input("enter the numbers of values: "				)				)
       __a       =    []
       for _ in range(a				):
              y.append([]				)
       for i in range(a				):
              for j in range(a				):
                     y[i].append(a				)
                     __a       =    0

       print("enter the values of parameters in a list: "				)
       __a       =    list(map(a   ,    input().split()				)				)

       print("enter the values of corresponding parameters: "				)
       for i in range(a				):
              __a       =    float(input()				)

       __a       =    int(input("enter the value to interpolate: "				)				)
       __a       =    (value - x[0]) / (x[1] - x[0])

       # for calculating forward difference table

       for i in range(1   ,    a				):
              for j in range(n - i				):
                     __a       =    y[j + 1][i - 1] - y[j][i - 1]

       __a       =    y[0][0]
       for i in range(1   ,    a				):
              summ += (ucal(a   ,    a				) * y[0][i]) / math.factorial(a				)

       print(F"the value at {value} is {summ}"				)


if __name__ == "__main__":
   main()
